Singularly perturbed hyperbolic problems on metric graphs: asymptotics of solutions

Yuriy Golovaty; Volodymyr Flyud

The search session has expired. Please query the service again.

Displaying similar documents to “Singularly perturbed hyperbolic problems on metric graphs: asymptotics of solutions”

The hyperbolic n-space as a graph in euclidean (6n-6)-space.

Wolfgang Henke, Wolfgang Nettekoven (1987)

Manuscripta mathematica

Similarity:

Metric characterizations of hyperbolic and Euclidean spaces

J. E. Valentine, S. G. Wayment (1972)

Colloquium Mathematicae

Similarity:

Boundaries of right-angled hyperbolic buildings

Jan Dymara, Damian Osajda (2007)

Fundamenta Mathematicae

Similarity:

We prove that the boundary of a right-angled hyperbolic building is a universal Menger space. As a consequence, the 3-dimensional universal Menger space is the boundary of some Gromov-hyperbolic group.

Incidence Axioms for the Boundary at Infinity of Complex Hyperbolic Spaces

Sergei Buyalo, Viktor Schroeder (2015)

Analysis and Geometry in Metric Spaces

Similarity:

We characterize the boundary at infinity of a complex hyperbolic space as a compact Ptolemy space that satisfies four incidence axioms.

Gromov hyperbolic cubic graphs

Domingo Pestana, José Rodríguez, José Sigarreta, María Villeta (2012)

Open Mathematics

Similarity:

If X is a geodesic metric space and x 1; x 2; x 3 ∈ X, a geodesic triangle T = {x 1; x 2; x 3} is the union of the three geodesics [x 1 x 2], [x 2 x 3] and [x 3 x 1] in X. The space X is δ-hyperbolic (in the Gromov sense) if any side of T is contained in a δ-neighborhood of the union of the two other sides, for every geodesic triangle T in X. We denote by δ(X) the sharp hyperbolicity constant of X, i.e., δ(X) = inf {δ ≥ 0: X is δ-hyperbolic}. We obtain information about the hyperbolicity...

The Pick version of the Schwarz lemma and comparison of the Poincaré densities.

Yamashita, Shinji (1994)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

Similarity:

On the relationship between hyperbolic and cone-hyperbolic structures in metric spaces

Marcin Mazur (2013)

Annales Polonici Mathematici

Similarity:

We give necessary and sufficient conditions for topological hyperbolicity of a homeomorphism of a metric space, restricted to a given compact invariant set. These conditions are related to the existence of an appropriate finite covering of this set and a corresponding cone-hyperbolic graph-directed iterated function system.

Aspects of the geometry of mapping class groups.

J. Aramayona (2006)

Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales

Similarity:

Gromov hyperbolicity of planar graphs

Alicia Cantón, Ana Granados, Domingo Pestana, José Rodríguez (2013)

Open Mathematics

Similarity:

We prove that under appropriate assumptions adding or removing an infinite amount of edges to a given planar graph preserves its non-hyperbolicity, a result which is shown to be false in general. In particular, we make a conjecture that every tessellation graph of ℝ2 with convex tiles is non-hyperbolic; it is shown that in order to prove this conjecture it suffices to consider tessellation graphs of ℝ2 such that every tile is a triangle and a partial answer to this question is given....